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Simplifying -84 + 14y + 6 = 4(5y + -4) + -8 Reorder the terms: -84 + 6 + 14y = 4(5y + -4) + -8 Combine like terms: -84 + 6 = -78 -78 + 14y = 4(5y + -4) + -8 Reorder the terms: -78 + 14y = 4(-4 + 5y) + -8 -78 + 14y = (-4 * 4 + 5y * 4) + -8 -78 + 14y = (-16 + 20y) + -8 Reorder the terms: -78 + 14y = -16 + -8 + 20y Combine like terms: -16 + -8 = -24 -78 + 14y = -24 + 20y Solving -78 + 14y = -24 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -78 + 14y + -20y = -24 + 20y + -20y Combine like terms: 14y + -20y = -6y -78 + -6y = -24 + 20y + -20y Combine like terms: 20y + -20y = 0 -78 + -6y = -24 + 0 -78 + -6y = -24 Add '78' to each side of the equation. -78 + 78 + -6y = -24 + 78 Combine like terms: -78 + 78 = 0 0 + -6y = -24 + 78 -6y = -24 + 78 Combine like terms: -24 + 78 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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